A commuter owns two cars. One is a compact and the other is a standard model. About 3 of the time 4 he uses the compact to travel to work and about - of the time the larger car is used. When he uses the compact car, he usually gets home by 5 : 30 P.M. about 75% of the time. If he uses the standard sized car he gets home by 5 : 30 P.M. about 60% of the time. If he gets home by 5 : 35 P.M., what is the probability that he used the compact car?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter3: Linear And Nonlinear Functions
Section3.7: Piecewise And Step Functions
Problem 30PPS
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A commuter owns two cars. One is a compact and the other is a standard model. About
3
of the time
4
he uses the compact to travel to work and about – of the time the larger car is used. When he uses the
compact car, he usually gets home by 5 : 30 P.M. about 75% of the time. If he uses the standard sized
car he gets home by 5 : 30 P.M. about 60% of the time. If he gets home by 5 : 35 P.M., what is the
probability that he used the compact car?
Transcribed Image Text:A commuter owns two cars. One is a compact and the other is a standard model. About 3 of the time 4 he uses the compact to travel to work and about – of the time the larger car is used. When he uses the compact car, he usually gets home by 5 : 30 P.M. about 75% of the time. If he uses the standard sized car he gets home by 5 : 30 P.M. about 60% of the time. If he gets home by 5 : 35 P.M., what is the probability that he used the compact car?
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